Shape invariants in the multiple “Q-excitation” scheme

✍ Scribed by R.V. Jolos; P. von Brentano; N. Pietralla; I. Schneider

• Publisher: Elsevier Science
• Year: 1997
• Tongue: English
• Weight: 704 KB
• Volume: 618
• Category: Article
• ISSN: 0375-9474
• DOI: 10.1016/s0375-9474(97)00046-8

✦ Synopsis

Simple relations are derived within the IBA which express the ground state expectation values of various multiples of the quadrupole operator in terms of a few E2 transition probabilities connecting low-lying collective states. A comparison with the exact IBA results for boson numbers N = 6 and 12 reveals an accuracy better than 85% over the whole symmetry triangle. For the IBA parameters range physically important for the description of nuclear data the accuracy is better than 90%. Using these relations, the values of the cubic and fourth-order scalars and also the average value of the asymmetry parameter 3' are determined for several nuclei. (~) 1997 Elsevier Science B.V.